| The Global Existence of Solutions for a Cross-diffusion System |
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| 作者姓名： | Yi Wang |
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| 作者单位： | [1]Department of Mathematics, Capital Normal University, Beijing 100037, China i [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| 摘 要： |
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| 关 键 词： | 交叉传播系统 自传播函数 球形解 存在形 先验估计 |
| 收稿时间： | 2004-12-13 |
| 修稿时间： | 2004-12-13 |
The Global Existence of Solutions for a Cross-diffusion System |
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| Yi Wang.The Global Existence of Solutions for a Cross-diffusion System[J].Acta Mathematicae Applicatae Sinica,2005,21(3):519-528. |
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| Authors: | Yi Wang |
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| Institution: | (1) Department of Mathematics, Capital Normal University, Beijing, 100037, China;(2) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | This paper is concerned with the global existence of solutions for a class of quasilinear cross-diffusion system describing two species competition under self and cross population pressure. By establishing and using more detailed interpolation results between several different Banach spaces, the global existence of solutions are proved when the self and cross diffusion rates for the first species are positive and there is no self or cross-diffusion for the second species. |
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| Keywords: | Cross-diffusion system self-diffusion global existence a priori estimates |
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